102997090800 has 540 divisors, whose sum is σ = 392345763264. Its totient is φ = 24909004800.

The previous prime is 102997090753. The next prime is 102997090811. The reversal of 102997090800 is 8090799201.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 442047484 + ... + 442047716.

Almost surely, 2^102997090800 is an apocalyptic number.

102997090800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102997090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196172881632).

102997090800 is an abundant number, since it is smaller than the sum of its proper divisors (289348672464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102997090800 is a wasteful number, since it uses less digits than its factorization.

102997090800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 102997090800 in words is "one hundred two billion, nine hundred ninety-seven million, ninety thousand, eight hundred".